Course title
Advanced Control Theory

zhai guisheng Click to show questionnaire result at 2018
Course description
It is known that control engineering plays a very important role in real-world applications. This course deals with basic knowledge in control engineering with both classic and modern control (focusing on the latter). We will learn system representation (modeling), transfer function, state solution (various response), frequency based analysis and design, system stability, controllability and observability, state feedback, observer and optimal control, etc.
Purpose of class
Obtain fundamental knowledge about classic and modern control, and understand the relation between them. Master various analysis and design tool in control engineering, and use MATLAB/simulink in numerical simulation.
Goals and objectives
  1. Understand transfer function and state space representation, and obtain various system responses.
  2. Understand transfer function based analysis and design
  3. Understand state space representation based analysis and design
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Course introduction and physical system modeling Review RLC circuit, Newton's Principle 190minutes
2. Laplace Transform, inverse Laplace transform and Transfer function Review complex numbers, derivative and integral, 190minutes
3. Block Diagram Review transfer function and matrix manipulation 190minutes
4. System state solution Review Laplace Transform, inverse Laplace transform and matrix exponential 190minutes
5. System stability, Routh and Hurwitz criteria Review limit and convergence, matrix determinant, etc 190minutes
6. Steady state response, Bode diagram Review complex analysis, practice MATLAB simulation 190minutes
7. Mid-term report and review Review all from No.1 through No.7 190minutes
8. State space representation Review matrix and vector manipulation, differential equations 190minutes
9. Transition matrix and system state solution Review transfer function and matrix manipulation (eigenvalue, eigenvector, diagonalization, etc) 190minutes
10. Lyapunov function based system stability Review positive definite functions and derivative 190minutes
11. Controllability and observability Review matrix rank and duality 190minutes
12. State feedback and pole assignment Review and preview controllability, stability, etc 190minutes
13. Optimal control Preview cost function, state feedback, etc 190minutes
14. Final report and review Review all from No.1 through 14 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Mid-term report Final report Total.
1. 20% 10% 30%
2. 20% 10% 30%
3. 40% 40%
Total. 40% 60% -
Evaluation method and criteria
Mid-term report: 40%
Final report: 60%

Pass when reaching 60% of the whole evaluation, or in other words, reaching the level of writing state space representation of simple control systems, and then obtaining the system's solution, analyzing system stability, and designing proper state feedback for the control system.
Textbooks and reference materials
Mainly handouts (No textbook)
Reference: Ogata, Modern Control Engineering
Basic calculus and linear algebra (matrix and vector)
Office hours and How to contact professors for questions
  • Tuesday 12:30 -- 13:00
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
    Last modified : Sun Mar 21 15:16:21 JST 2021